If x is the least positive integer satisfying \(97 \equiv x \pmod 5\), then \(x^2-1\) is equal to:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 3
\(97 \equiv x \pmod 5\) means 97 and x leave the same remainder on division by 5.
\(97 = 5\times19+2\)
So the least positive integer x is 2.
\(x^2-1 = 4-1 = 3\)